Expected sum given a six
Two fair dice are rolled. Given that at least one of them shows a 6, what is the expected value of their sum? Give a decimal to four places.
Show hints (2)+
- Condition shrinks the space to the 11 outcomes containing a 6 (use ).
- Average the sum over just those 11: total , so .
Answer
Reveal answer →Final answer
9.2727 (± 0.001)
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Asked at: Timed Mental-Math & Sequences, Game-Based Aptitude